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Finding the Fourth Proportional to 850.91, 1,276.97 and 727.79

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Solution

The fourth proportional to 850.91, 1,276.97 and 727.79 is: 1,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.91 : 1,276.97 = 727.79 : x
  2. Step 2: Convert to fraction form
    850.91/1,276.97 = 727.79/x
  3. Step 3: Cross multiply
    850.91x = 1,276.97 × 727.79
  4. Step 4: Simplify right side
    850.91x = 929,355.97
  5. Step 5: Solve for x
    x = 929,355.97/850.91
  6. Step 6: Final answer
    x = 1,092.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.